New
New
Year 5

# Explain how to find all the factors of a number systematically

I can explain how to find all the factors of a number systematically.

New
New
Year 5

# Explain how to find all the factors of a number systematically

I can explain how to find all the factors of a number systematically.

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## Lesson details

### Key learning points

1. All numbers have themselves and 1 as factors.
2. Listing factors in order helps identify all the factors for a given number.

### Common misconception

Pupils do not know when to stop looking for more factors.

Build up finding factors of numbers systematically by arranging into rows and columns, starting with 1 row. Encourage pupils to generalise that when the number of rows becomes larger than the number of columns, you can stop looking for factors.

### Keywords

• Factor - Factors are whole numbers which exactly divide another whole number.

• Systematic - Being systematic, means working in a set way, often according to a fixed plan.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
What multiplication equation does this array represent?
4 × 2 = 16
Correct answer: 4 × 4 = 16
16 × 4 = 16
Q2.
What is the missing factor in this image?
Q3.
Which of these are correct arrays for 12?
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Q4.
Which of these make a rectangle with an area of 32 cm \$\$^2\$\$?
30 cm + 2 cm =
Correct answer: 4 cm × 8 cm =
Correct answer: 1 cm × 32 cm =
5 cm × 6 cm =
3 cm × 2 cm =
Q5.
Complete the missing factor: 12 × = 60
Q6.
Complete: 72 ÷ = 9

## Exit quiz

### 6 Questions

Q1.
Look at the rectangle on the grid. What is being represented?
28 × 7 = 4
Correct answer: 7 × 4 = 28
Correct answer: 4 × 7 = 28
4 × 28 = 7
Q2.
Look at the rectangle on the grid. What other factor pairs would make a rectangle covering the same area?
20 and 8
10 and 18
8 and 3
Q3.
Which of these are factors of 48?